Question

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12

Answer 1

Answer: its d, 12

Explanation:

Answer 2

d. 12

Explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.